Recently Active Mathematics Questions

Value of k for which lim cosec -1 ( k2/ln x - k2/x - 1 ) exists is ........ x→1 ...

(x+1)(x+2)(x+3) ........... (x+n)=A0 + A1x + A2x2 + ............Anxn. Find A1 + 2A2 + 3A3 +.............nAn. ...

Q1. Find the least integral value of a such that \sqrt{9-a^2+2ax-x^2} > \sqrt{16-x^2} for at least one positive x (ans given 6 while i got 2) (integer type) Q2. matrix match Let (x,y) be such that sin-1(ax) + cos-1(y) + co ...

a) Domain of 1/ x-(x) b) Doamin of (sinx)-(cosx) where (.) denotes LINT ...

AREA BOUNDED BY 4y2=x2(4 - x2) is................. ...

∫ (x+1)/x(1+xex)2 dx [yaar options nahin hai isme]. ...

∞ In = ∫ e-x(sin x)n dx (n>1), then value of 101 I10/I8 o is equal to.................... ANS [ 90 ] ...

Integrate ∫ 1/1+x4 limits are from 0 to infinity.. Somebody Pls try this sum , I am aware this has been discussed earlier but i cant find the thread.. if anyone can find it pls post the link here , i'll be grateful.. ...

lim ln cot (pi/4 - k1x)/tan k2x = 1. x→0 THEN FIND RELATION BETWEEN k1 and k2. ...

*Image* ...

Value of k for which kx2 - 2kx + 3x - 6 is positive for exactly two integral values of x is.................. ...

f(x) be a continous and differentiable function. f(y)f(x+y)= f(x) f(5) = 3 and f'(3)=7 then f'(8) = ........ ...

let y=\frac{x^2+ax+b}{x^2+px+q} whare α,β are roots of {x^2+ax+b} and β,γ of x2+px+q such that α<β<γ statement-1:for all xεR-(β,γ) THE RANGE OF Y IS ALL REAL statement 2..for all xεR-(β,γ) Y IS ONE-ONE FUNC ...

*Image* ...

a_{1}^{2}+ a_{2}^{2}+a_{3}^{2}= 25 b_{1}^{2}+b_{2}^{2}+b_{3}^{2}=100 b_{1}a_{1}+b_{2}a_{2}+b_{3}a_{3}= 50 Find \; \; \frac{a_{1}^{n}+a_{2}^{n}+a_{3}^{n}}{b_{1}^{n}+ b_{2}^{n}+b_{3}^{n}} ...

Evaluate \int_1^e\dfrac{1+x^2\ln x}{x+x^2\ln x}\ \mathrm dx ...

Draw graph of y={x}+2{2x}+4{4x} [1][1] ...

*Image* Sorry ,name of heading misprinted ...

domain of 1) log0.3(x-1)/x2-2x-8 2)cos -1( 1-2lxl/3 ) just give ur ans...no soln needed ...

Find teh roots of x5-209x+285=0 whose sum is 5 ...

prove \mathbf{}\int_{0}^{infinity}{sinx.dx}=1 ...

draw the graph of eesin x ...

draw graph of esin x ...

Number of solns for x between 3 and 15 if \int_{0}^{x}{\left[t \right]}.dt=\int_{0}^{\left[x \right]}{t.dt} wer [.] is GIF ...

express (2^(1/3)-1)^(1/3) in the form of a,b,c (use only + or - btw a,b,c) where a= (1/9)^ (1/3), b= (2/9)^ (1/3), c= (4/9)^ (1/3) ...

Q1. *Image* *Image* ...

Given a function f : [0,4] ----> R is differentiable , then for some \alpha , *Image* \epsilon (0 , 2) , \int_{0}^{4}{f(t) dt} equals to : a) f( \alpha 2) + f( *Image* 2) b)2 \alpha f( *Image* 2) + 2 *Image* f( \alpha 2) c ...

FROM A FIXED POINT a ON THE CIRCUMFERENCE OF A CIRCLE OF RADIUS r THE PERPENDICULAR "AY" IS LET FALL ON THE TANGENT AT P . THE MAXIMUM AREA OF TRIANGLE APY IS: A) r2 B) 2√3 r2/4 C) 3√3 r2/4 D) √3 r2 ...

A compilation of quesitons similar to the way bhargav had one :P (hence borrowed a part of the name..) Keep solving and i will keep adding questions here... To begin with first 5 are here... Question 1) \left(\frac{dy}{dx}+1\ ...

Q1 3 digit number in which middle one is perfect square is formed using 1-9.Find sum Q2 Number of 6 digit numbers in which sum of digits is divisble by 5. Aslo find sum of such numbers ...